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Shtirlitz [24]
2 years ago
12

X² + 3x + k = 0pls help​

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}

Step-by-step explanation:

x^2+3x+y=0

4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2

\bold{\mathrm{Therefore\:parabola\:properties\:are:}}

\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}

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A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere
alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

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Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat =  x mph

Let The speed of current =  mph

Now, According to question

∵ Speed = \dfrac{Distance}{Time}

<u>For Downstream</u>

x + y = \dfrac{D}{T}

Or, x + y =  \dfrac{10.5}{1.5}

Or, x + y = 7          .......A

<u>For Upstream</u>

x - y = \dfrac{d}{t}

Or, x - y =  \dfrac{10.5}{3.5}

Or, x - y = 3          .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

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i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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